Finding the Third Proportional to 218,895 and 314,518.50

Step by Step Solution

1. Step 1: Write the proportion equation
   218,895 : 314,518.50 = 314,518.50 : x
2. Step 2: Convert to fraction form
   218,895/314,518.50 = 314,518.50/x
3. Step 3: Cross multiply
   218,895x = 314,518.50 × 314,518.50
4. Step 4: Simplify right side
   218,895x = 98,921,886,842.25
5. Step 5: Solve for x
   x = 98,921,886,842.25/218,895
6. Step 6: Final answer
   x = 451,914.78